The function g(x) is given as g(x) = [x/5]². Then the correct option is C.
What is the equation of the parabola?
Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.
Then the equation of the parabola will be given as,
y = a(x - h)² + k
The function f(x) is given below.
y = x²
Let the function g(x) = ax².
From the graph, the g(x) is passing through (5, 1), then we have the value of the leading coefficient will be
1 = a (5)²
a = 1/25
Then the function will be
g(x) = (1/25)x²
g(x) = (1/5)²x²
g(x) = [x/5]²
The function g(x) is given as g(x) = [x/5]².
Then the correct option is C.
More about the equation of parabola link is given below.
https://brainly.com/question/20333425
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